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Finding the Fourth Proportional to 5,191.73, 7,164.53 and 3,201.49

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Solution

The fourth proportional to 5,191.73, 7,164.53 and 3,201.49 is: 4,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.73 : 7,164.53 = 3,201.49 : x
  2. Step 2: Convert to fraction form
    5,191.73/7,164.53 = 3,201.49/x
  3. Step 3: Cross multiply
    5,191.73x = 7,164.53 × 3,201.49
  4. Step 4: Simplify right side
    5,191.73x = 22,937,143.33
  5. Step 5: Solve for x
    x = 22,937,143.33/5,191.73
  6. Step 6: Final answer
    x = 4,418.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.